Which of the following measurement is most precise?

Options

A. 2.00 mm
B. 2.00 cm
C. 2.00 m
D. 2.00 km

Answer

To determine which of the given measurements is the most precise, we need to analyze the precision of each measurement based on the number of decimal places and the smallest unit of measurement involved. Here’s a step-by-step breakdown of how to approach this question:

### Step 1: Understand Precision
Precision in measurements refers to how close the measurements are to each other and how detailed they are. The more decimal places a measurement has, the more precise it is considered to be.

### Step 2: List the Given Measurements
Assume we have the following measurements (for example):
- A: 2.00 mm
- B: 0.05 m
- C: 52.56 m
- D: 0.002 km

### Step 3: Convert All Measurements to the Same Unit
To compare the precision, convert all measurements to the same unit. For this example, let’s convert everything to millimeters (mm):
- A: 2.00 mm (already in mm)
- B: 0.05 m = 0.05 * 1000 = 50 mm
- C: 52.56 m = 52.56 * 1000 = 52560 mm
- D: 0.002 km = 0.002 * 1000000 = 2000 mm

### Step 4: Analyze the Decimal Places
Now, let’s look at the number of decimal places in each measurement:
- A: 2.00 mm (2 decimal places)
- B: 50 mm (0 decimal places)
- C: 52560 mm (0 decimal places)
- D: 2000 mm (0 decimal places)

### Step 5: Determine the Measurement with the Least Error
The measurement with the most decimal places is considered the most precise because it indicates a smaller possible error. In this case:
- A (2.00 mm) has 2 decimal places, while all other measurements have 0 decimal places.

### Step 6: Conclusion
Based on the analysis, the measurement that is most precise is **A: 2.00 mm** because it has the highest number of decimal places, indicating the least possible error.

### Final Answer
The most precise measurement is **2.00 mm**.

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